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Siberian Mathematical Journal

, Volume 35, Issue 4, pp 637–639 | Cite as

On the Gale-NikaidÔ-Inada fundamental theorem on univalence of mappings

  • V. A. Aleksandrov
Article
  • 38 Downloads

Keywords

Fundamental Theorem 
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References

  1. 1.
    D. Gale and H. NikaidÔ, “The Jacobian matrix and global univalence of mappings,” Math. Ann.,159, 81–93 (1965).Google Scholar
  2. 2.
    T. Parthasarathy, On Global Univalence Theorems (Lecture Notes in Math.;977), Springer, Berlin-New York (1983).Google Scholar
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    T. Parthasarathy and G. Ravindran, “Completely mixed games and global univalence in convex regions,” in: Optimization, Design of Experiments and Graph Theory (Proc. / Symposium, Bombay, dec., 1986), Indian Inst. Tech., Bombay, 1988.Google Scholar
  4. 4.
    A. M. Fomin, “On a sufficient condition for a continuous differentiable mapping to be a homeomorphism,” Uspekhi Mat. Nauk,4, No. 5, 198–199 (1949).Google Scholar
  5. 5.
    A. I. Fet, “On Fomin's conditions for a continuous differentiable mapping to be one-to-one,” Uspekhi Mat. Nauk,5, No. 5, 163–164 (1950).Google Scholar
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    A. D. Myshkis and A. Ya. Bunt, “On a sufficient condition for a continuous differentiable mapping to be a homeomorphism,” Uspekhi Mat. Nauk,10, No. 1, 139–142 (1955).Google Scholar

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • V. A. Aleksandrov
    • 1
  1. 1.Novosibirsk

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